TY - JOUR

T1 - Quasi-equilibrium binary black hole initial data for dynamical evolutions

AU - Yo, Hwei Jang

AU - Cook, James N.

AU - Shapiro, Stuart L.

AU - Baumgarte, Thomas W.

N1 - Funding Information:
It is a pleasure to thank P. Marronetti and W. Tichy for useful discussions. This paper was supported in part by NSF Grants No. PHY-0090310 and No. PHY-0345151 and NASA Grant No. NNG04GK54G at the University of Illinois at Urbana-Champaign (UIUC) and by NSF Grant No. PHY-0139907 at Bowdoin College. Numerical calculations were carried out at the National Center for Supercomputing Applications at UIUC.

PY - 2004

Y1 - 2004

N2 - We present a formalism for constructing quasiequilibrium binary black hole initial data suitable for numerical evolution. We construct quasiequilibrium models by imposing an approximate helical Killing symmetry appropriate for quasicircular orbits. We use the sum of two Kerr-Schild metrics as our background metric, thereby improving on conformal flat backgrounds that do not accommodate rotating black holes and providing a horizon-penetrating lapse, convenient for implementing black hole excision. We set inner boundary conditions at an excision radius well inside the apparent horizon and construct these boundary conditions to incorporate the quasiequilibrium condition and recover the solution for isolated black holes in the limit of large separation. We use our formalism both to generate initial data for binary black hole evolutions and to construct a crude quasiequilibrium, inspiral sequence for binary black holes of fixed irreducible mass.

AB - We present a formalism for constructing quasiequilibrium binary black hole initial data suitable for numerical evolution. We construct quasiequilibrium models by imposing an approximate helical Killing symmetry appropriate for quasicircular orbits. We use the sum of two Kerr-Schild metrics as our background metric, thereby improving on conformal flat backgrounds that do not accommodate rotating black holes and providing a horizon-penetrating lapse, convenient for implementing black hole excision. We set inner boundary conditions at an excision radius well inside the apparent horizon and construct these boundary conditions to incorporate the quasiequilibrium condition and recover the solution for isolated black holes in the limit of large separation. We use our formalism both to generate initial data for binary black hole evolutions and to construct a crude quasiequilibrium, inspiral sequence for binary black holes of fixed irreducible mass.

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U2 - 10.1103/PhysRevD.70.084033

DO - 10.1103/PhysRevD.70.084033

M3 - Article

AN - SCOPUS:84927719428

SN - 1550-7998

VL - 70

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 8

ER -